The polyharmonic operators \(\Delta ^k\) , \(k\ge 2\) , are prototypical examples of higher order elliptic operators and have abundant applications in various physical contexts ([1]}, [2]}). In this paper, we aim to study the UCP of the differential inequality (REF ), which is the natural higher order analog of (REF ). The Carleman inequality closely tied to the UCP of (REF ) is
\(\Vert  e^{v\cdot x} u\Vert _{L^q({\mathbb {R}}^d)} \le C \Vert e^{v\cdot x} (-\Delta )^k u\Vert _{L^p({\mathbb {R}}^d)}\) 
